Information on Result #1186162
Digital (78, 89, 838862)-net over F4, using net defined by OOA based on linear OOA(489, 838862, F4, 11, 11) (dual of [(838862, 11), 9227393, 12]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OA(489, 4194311, F4, 11) (dual of [4194311, 4194222, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(489, 4194315, F4, 11) (dual of [4194315, 4194226, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- linear OA(489, 4194304, F4, 11) (dual of [4194304, 4194215, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(478, 4194304, F4, 10) (dual of [4194304, 4194226, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(40, 11, F4, 0) (dual of [11, 11, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- discarding factors / shortening the dual code based on linear OA(489, 4194315, F4, 11) (dual of [4194315, 4194226, 12]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (84, 95, 838871)-net over F4 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (85, 96, 838878)-net over F4 | [i] | ||